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#ifndef __NPY_MATH_C99_H_
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#define __NPY_MATH_C99_H_
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#ifdef __cplusplus
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extern "C" {
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#endif
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#include <math.h>
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#ifdef __SUNPRO_CC
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#include <sunmath.h>
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#endif
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#ifdef HAVE_NPY_CONFIG_H
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#include <npy_config.h>
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#endif
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#include <numpy/npy_common.h>
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/* By adding static inline specifiers to npy_math function definitions when
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appropriate, compiler is given the opportunity to optimize */
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#if NPY_INLINE_MATH
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#define NPY_INPLACE NPY_INLINE static
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#else
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#define NPY_INPLACE
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#endif
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/*
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* NAN and INFINITY like macros (same behavior as glibc for NAN, same as C99
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* for INFINITY)
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*
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* XXX: I should test whether INFINITY and NAN are available on the platform
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*/
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NPY_INLINE static float __npy_inff(void)
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{
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1
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const union { npy_uint32 __i; float __f;} __bint = {0x7f800000UL};
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return __bint.__f;
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}
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NPY_INLINE static float __npy_nanf(void)
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{
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1
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const union { npy_uint32 __i; float __f;} __bint = {0x7fc00000UL};
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return __bint.__f;
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}
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NPY_INLINE static float __npy_pzerof(void)
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{
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1
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const union { npy_uint32 __i; float __f;} __bint = {0x00000000UL};
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return __bint.__f;
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}
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NPY_INLINE static float __npy_nzerof(void)
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{
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1
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const union { npy_uint32 __i; float __f;} __bint = {0x80000000UL};
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return __bint.__f;
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}
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#define NPY_INFINITYF __npy_inff()
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#define NPY_NANF __npy_nanf()
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#define NPY_PZEROF __npy_pzerof()
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#define NPY_NZEROF __npy_nzerof()
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#define NPY_INFINITY ((npy_double)NPY_INFINITYF)
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#define NPY_NAN ((npy_double)NPY_NANF)
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#define NPY_PZERO ((npy_double)NPY_PZEROF)
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#define NPY_NZERO ((npy_double)NPY_NZEROF)
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#define NPY_INFINITYL ((npy_longdouble)NPY_INFINITYF)
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#define NPY_NANL ((npy_longdouble)NPY_NANF)
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#define NPY_PZEROL ((npy_longdouble)NPY_PZEROF)
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#define NPY_NZEROL ((npy_longdouble)NPY_NZEROF)
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/*
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* Useful constants
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*/
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#define NPY_E 2.718281828459045235360287471352662498 /* e */
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#define NPY_LOG2E 1.442695040888963407359924681001892137 /* log_2 e */
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#define NPY_LOG10E 0.434294481903251827651128918916605082 /* log_10 e */
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#define NPY_LOGE2 0.693147180559945309417232121458176568 /* log_e 2 */
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#define NPY_LOGE10 2.302585092994045684017991454684364208 /* log_e 10 */
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#define NPY_PI 3.141592653589793238462643383279502884 /* pi */
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#define NPY_PI_2 1.570796326794896619231321691639751442 /* pi/2 */
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#define NPY_PI_4 0.785398163397448309615660845819875721 /* pi/4 */
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#define NPY_1_PI 0.318309886183790671537767526745028724 /* 1/pi */
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#define NPY_2_PI 0.636619772367581343075535053490057448 /* 2/pi */
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84
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#define NPY_EULER 0.577215664901532860606512090082402431 /* Euler constant */
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85
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#define NPY_SQRT2 1.414213562373095048801688724209698079 /* sqrt(2) */
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86
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#define NPY_SQRT1_2 0.707106781186547524400844362104849039 /* 1/sqrt(2) */
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87
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#define NPY_Ef 2.718281828459045235360287471352662498F /* e */
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#define NPY_LOG2Ef 1.442695040888963407359924681001892137F /* log_2 e */
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#define NPY_LOG10Ef 0.434294481903251827651128918916605082F /* log_10 e */
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91
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#define NPY_LOGE2f 0.693147180559945309417232121458176568F /* log_e 2 */
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#define NPY_LOGE10f 2.302585092994045684017991454684364208F /* log_e 10 */
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#define NPY_PIf 3.141592653589793238462643383279502884F /* pi */
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#define NPY_PI_2f 1.570796326794896619231321691639751442F /* pi/2 */
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#define NPY_PI_4f 0.785398163397448309615660845819875721F /* pi/4 */
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#define NPY_1_PIf 0.318309886183790671537767526745028724F /* 1/pi */
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#define NPY_2_PIf 0.636619772367581343075535053490057448F /* 2/pi */
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#define NPY_EULERf 0.577215664901532860606512090082402431F /* Euler constant */
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#define NPY_SQRT2f 1.414213562373095048801688724209698079F /* sqrt(2) */
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#define NPY_SQRT1_2f 0.707106781186547524400844362104849039F /* 1/sqrt(2) */
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101
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102
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#define NPY_El 2.718281828459045235360287471352662498L /* e */
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#define NPY_LOG2El 1.442695040888963407359924681001892137L /* log_2 e */
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#define NPY_LOG10El 0.434294481903251827651128918916605082L /* log_10 e */
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#define NPY_LOGE2l 0.693147180559945309417232121458176568L /* log_e 2 */
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#define NPY_LOGE10l 2.302585092994045684017991454684364208L /* log_e 10 */
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#define NPY_PIl 3.141592653589793238462643383279502884L /* pi */
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#define NPY_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */
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#define NPY_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */
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#define NPY_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */
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#define NPY_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */
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#define NPY_EULERl 0.577215664901532860606512090082402431L /* Euler constant */
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#define NPY_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */
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#define NPY_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */
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/*
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* Integer functions.
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*/
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NPY_INPLACE npy_uint npy_gcdu(npy_uint a, npy_uint b);
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NPY_INPLACE npy_uint npy_lcmu(npy_uint a, npy_uint b);
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NPY_INPLACE npy_ulong npy_gcdul(npy_ulong a, npy_ulong b);
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NPY_INPLACE npy_ulong npy_lcmul(npy_ulong a, npy_ulong b);
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NPY_INPLACE npy_ulonglong npy_gcdull(npy_ulonglong a, npy_ulonglong b);
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NPY_INPLACE npy_ulonglong npy_lcmull(npy_ulonglong a, npy_ulonglong b);
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NPY_INPLACE npy_int npy_gcd(npy_int a, npy_int b);
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NPY_INPLACE npy_int npy_lcm(npy_int a, npy_int b);
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NPY_INPLACE npy_long npy_gcdl(npy_long a, npy_long b);
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NPY_INPLACE npy_long npy_lcml(npy_long a, npy_long b);
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NPY_INPLACE npy_longlong npy_gcdll(npy_longlong a, npy_longlong b);
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NPY_INPLACE npy_longlong npy_lcmll(npy_longlong a, npy_longlong b);
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NPY_INPLACE npy_ubyte npy_rshiftuhh(npy_ubyte a, npy_ubyte b);
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NPY_INPLACE npy_ubyte npy_lshiftuhh(npy_ubyte a, npy_ubyte b);
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NPY_INPLACE npy_ushort npy_rshiftuh(npy_ushort a, npy_ushort b);
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NPY_INPLACE npy_ushort npy_lshiftuh(npy_ushort a, npy_ushort b);
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NPY_INPLACE npy_uint npy_rshiftu(npy_uint a, npy_uint b);
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NPY_INPLACE npy_uint npy_lshiftu(npy_uint a, npy_uint b);
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NPY_INPLACE npy_ulong npy_rshiftul(npy_ulong a, npy_ulong b);
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NPY_INPLACE npy_ulong npy_lshiftul(npy_ulong a, npy_ulong b);
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NPY_INPLACE npy_ulonglong npy_rshiftull(npy_ulonglong a, npy_ulonglong b);
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NPY_INPLACE npy_ulonglong npy_lshiftull(npy_ulonglong a, npy_ulonglong b);
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NPY_INPLACE npy_byte npy_rshifthh(npy_byte a, npy_byte b);
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NPY_INPLACE npy_byte npy_lshifthh(npy_byte a, npy_byte b);
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NPY_INPLACE npy_short npy_rshifth(npy_short a, npy_short b);
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NPY_INPLACE npy_short npy_lshifth(npy_short a, npy_short b);
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NPY_INPLACE npy_int npy_rshift(npy_int a, npy_int b);
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NPY_INPLACE npy_int npy_lshift(npy_int a, npy_int b);
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NPY_INPLACE npy_long npy_rshiftl(npy_long a, npy_long b);
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NPY_INPLACE npy_long npy_lshiftl(npy_long a, npy_long b);
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NPY_INPLACE npy_longlong npy_rshiftll(npy_longlong a, npy_longlong b);
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NPY_INPLACE npy_longlong npy_lshiftll(npy_longlong a, npy_longlong b);
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/*
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* avx function has a common API for both sin & cos. This enum is used to
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* distinguish between the two
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*/
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typedef enum {
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npy_compute_sin,
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npy_compute_cos
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} NPY_TRIG_OP;
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/*
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* C99 double math funcs
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*/
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NPY_INPLACE double npy_sin(double x);
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NPY_INPLACE double npy_cos(double x);
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NPY_INPLACE double npy_tan(double x);
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NPY_INPLACE double npy_sinh(double x);
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NPY_INPLACE double npy_cosh(double x);
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NPY_INPLACE double npy_tanh(double x);
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NPY_INPLACE double npy_asin(double x);
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NPY_INPLACE double npy_acos(double x);
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NPY_INPLACE double npy_atan(double x);
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NPY_INPLACE double npy_log(double x);
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NPY_INPLACE double npy_log10(double x);
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NPY_INPLACE double npy_exp(double x);
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NPY_INPLACE double npy_sqrt(double x);
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NPY_INPLACE double npy_cbrt(double x);
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NPY_INPLACE double npy_fabs(double x);
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NPY_INPLACE double npy_ceil(double x);
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NPY_INPLACE double npy_fmod(double x, double y);
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NPY_INPLACE double npy_floor(double x);
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NPY_INPLACE double npy_expm1(double x);
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NPY_INPLACE double npy_log1p(double x);
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NPY_INPLACE double npy_hypot(double x, double y);
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NPY_INPLACE double npy_acosh(double x);
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NPY_INPLACE double npy_asinh(double xx);
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NPY_INPLACE double npy_atanh(double x);
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NPY_INPLACE double npy_rint(double x);
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NPY_INPLACE double npy_trunc(double x);
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NPY_INPLACE double npy_exp2(double x);
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NPY_INPLACE double npy_log2(double x);
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NPY_INPLACE double npy_atan2(double x, double y);
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NPY_INPLACE double npy_pow(double x, double y);
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NPY_INPLACE double npy_modf(double x, double* y);
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NPY_INPLACE double npy_frexp(double x, int* y);
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NPY_INPLACE double npy_ldexp(double n, int y);
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NPY_INPLACE double npy_copysign(double x, double y);
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double npy_nextafter(double x, double y);
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double npy_spacing(double x);
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/*
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211
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* IEEE 754 fpu handling. Those are guaranteed to be macros
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*/
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/* use builtins to avoid function calls in tight loops
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* only available if npy_config.h is available (= numpys own build) */
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#if HAVE___BUILTIN_ISNAN
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#define npy_isnan(x) __builtin_isnan(x)
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#else
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#ifndef NPY_HAVE_DECL_ISNAN
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#define npy_isnan(x) ((x) != (x))
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#else
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#if defined(_MSC_VER) && (_MSC_VER < 1900)
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#define npy_isnan(x) _isnan((x))
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#else
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#define npy_isnan(x) isnan(x)
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#endif
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#endif
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#endif
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/* only available if npy_config.h is available (= numpys own build) */
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#if HAVE___BUILTIN_ISFINITE
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#define npy_isfinite(x) __builtin_isfinite(x)
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#else
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#ifndef NPY_HAVE_DECL_ISFINITE
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#ifdef _MSC_VER
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#define npy_isfinite(x) _finite((x))
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#else
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#define npy_isfinite(x) !npy_isnan((x) + (-x))
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#endif
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#else
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#define npy_isfinite(x) isfinite((x))
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#endif
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#endif
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/* only available if npy_config.h is available (= numpys own build) */
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#if HAVE___BUILTIN_ISINF
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#define npy_isinf(x) __builtin_isinf(x)
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#else
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#ifndef NPY_HAVE_DECL_ISINF
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#define npy_isinf(x) (!npy_isfinite(x) && !npy_isnan(x))
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#else
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#if defined(_MSC_VER) && (_MSC_VER < 1900)
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254
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#define npy_isinf(x) (!_finite((x)) && !_isnan((x)))
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255
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#else
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256
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#define npy_isinf(x) isinf((x))
|
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257
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#endif
|
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258
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#endif
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259
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#endif
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260
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261
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#ifndef NPY_HAVE_DECL_SIGNBIT
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262
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int _npy_signbit_f(float x);
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263
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int _npy_signbit_d(double x);
|
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264
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int _npy_signbit_ld(long double x);
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265
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#define npy_signbit(x) \
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266
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(sizeof (x) == sizeof (long double) ? _npy_signbit_ld (x) \
|
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267
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: sizeof (x) == sizeof (double) ? _npy_signbit_d (x) \
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268
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: _npy_signbit_f (x))
|
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269
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#else
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270
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#define npy_signbit(x) signbit((x))
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271
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#endif
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272
|
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273
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/*
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274
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* float C99 math functions
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275
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|
*/
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276
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NPY_INPLACE float npy_sinf(float x);
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277
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NPY_INPLACE float npy_cosf(float x);
|
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278
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NPY_INPLACE float npy_tanf(float x);
|
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279
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NPY_INPLACE float npy_sinhf(float x);
|
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280
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NPY_INPLACE float npy_coshf(float x);
|
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281
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NPY_INPLACE float npy_tanhf(float x);
|
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282
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NPY_INPLACE float npy_fabsf(float x);
|
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283
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NPY_INPLACE float npy_floorf(float x);
|
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284
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NPY_INPLACE float npy_ceilf(float x);
|
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285
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|
NPY_INPLACE float npy_rintf(float x);
|
|
286
|
|
NPY_INPLACE float npy_truncf(float x);
|
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287
|
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NPY_INPLACE float npy_sqrtf(float x);
|
|
288
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|
NPY_INPLACE float npy_cbrtf(float x);
|
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289
|
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NPY_INPLACE float npy_log10f(float x);
|
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290
|
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NPY_INPLACE float npy_logf(float x);
|
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291
|
|
NPY_INPLACE float npy_expf(float x);
|
|
292
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|
NPY_INPLACE float npy_expm1f(float x);
|
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293
|
|
NPY_INPLACE float npy_asinf(float x);
|
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294
|
|
NPY_INPLACE float npy_acosf(float x);
|
|
295
|
|
NPY_INPLACE float npy_atanf(float x);
|
|
296
|
|
NPY_INPLACE float npy_asinhf(float x);
|
|
297
|
|
NPY_INPLACE float npy_acoshf(float x);
|
|
298
|
|
NPY_INPLACE float npy_atanhf(float x);
|
|
299
|
|
NPY_INPLACE float npy_log1pf(float x);
|
|
300
|
|
NPY_INPLACE float npy_exp2f(float x);
|
|
301
|
|
NPY_INPLACE float npy_log2f(float x);
|
|
302
|
|
|
|
303
|
|
NPY_INPLACE float npy_atan2f(float x, float y);
|
|
304
|
|
NPY_INPLACE float npy_hypotf(float x, float y);
|
|
305
|
|
NPY_INPLACE float npy_powf(float x, float y);
|
|
306
|
|
NPY_INPLACE float npy_fmodf(float x, float y);
|
|
307
|
|
|
|
308
|
|
NPY_INPLACE float npy_modff(float x, float* y);
|
|
309
|
|
NPY_INPLACE float npy_frexpf(float x, int* y);
|
|
310
|
|
NPY_INPLACE float npy_ldexpf(float x, int y);
|
|
311
|
|
|
|
312
|
|
NPY_INPLACE float npy_copysignf(float x, float y);
|
|
313
|
|
float npy_nextafterf(float x, float y);
|
|
314
|
|
float npy_spacingf(float x);
|
|
315
|
|
|
|
316
|
|
/*
|
|
317
|
|
* long double C99 math functions
|
|
318
|
|
*/
|
|
319
|
|
NPY_INPLACE npy_longdouble npy_sinl(npy_longdouble x);
|
|
320
|
|
NPY_INPLACE npy_longdouble npy_cosl(npy_longdouble x);
|
|
321
|
|
NPY_INPLACE npy_longdouble npy_tanl(npy_longdouble x);
|
|
322
|
|
NPY_INPLACE npy_longdouble npy_sinhl(npy_longdouble x);
|
|
323
|
|
NPY_INPLACE npy_longdouble npy_coshl(npy_longdouble x);
|
|
324
|
|
NPY_INPLACE npy_longdouble npy_tanhl(npy_longdouble x);
|
|
325
|
|
NPY_INPLACE npy_longdouble npy_fabsl(npy_longdouble x);
|
|
326
|
|
NPY_INPLACE npy_longdouble npy_floorl(npy_longdouble x);
|
|
327
|
|
NPY_INPLACE npy_longdouble npy_ceill(npy_longdouble x);
|
|
328
|
|
NPY_INPLACE npy_longdouble npy_rintl(npy_longdouble x);
|
|
329
|
|
NPY_INPLACE npy_longdouble npy_truncl(npy_longdouble x);
|
|
330
|
|
NPY_INPLACE npy_longdouble npy_sqrtl(npy_longdouble x);
|
|
331
|
|
NPY_INPLACE npy_longdouble npy_cbrtl(npy_longdouble x);
|
|
332
|
|
NPY_INPLACE npy_longdouble npy_log10l(npy_longdouble x);
|
|
333
|
|
NPY_INPLACE npy_longdouble npy_logl(npy_longdouble x);
|
|
334
|
|
NPY_INPLACE npy_longdouble npy_expl(npy_longdouble x);
|
|
335
|
|
NPY_INPLACE npy_longdouble npy_expm1l(npy_longdouble x);
|
|
336
|
|
NPY_INPLACE npy_longdouble npy_asinl(npy_longdouble x);
|
|
337
|
|
NPY_INPLACE npy_longdouble npy_acosl(npy_longdouble x);
|
|
338
|
|
NPY_INPLACE npy_longdouble npy_atanl(npy_longdouble x);
|
|
339
|
|
NPY_INPLACE npy_longdouble npy_asinhl(npy_longdouble x);
|
|
340
|
|
NPY_INPLACE npy_longdouble npy_acoshl(npy_longdouble x);
|
|
341
|
|
NPY_INPLACE npy_longdouble npy_atanhl(npy_longdouble x);
|
|
342
|
|
NPY_INPLACE npy_longdouble npy_log1pl(npy_longdouble x);
|
|
343
|
|
NPY_INPLACE npy_longdouble npy_exp2l(npy_longdouble x);
|
|
344
|
|
NPY_INPLACE npy_longdouble npy_log2l(npy_longdouble x);
|
|
345
|
|
|
|
346
|
|
NPY_INPLACE npy_longdouble npy_atan2l(npy_longdouble x, npy_longdouble y);
|
|
347
|
|
NPY_INPLACE npy_longdouble npy_hypotl(npy_longdouble x, npy_longdouble y);
|
|
348
|
|
NPY_INPLACE npy_longdouble npy_powl(npy_longdouble x, npy_longdouble y);
|
|
349
|
|
NPY_INPLACE npy_longdouble npy_fmodl(npy_longdouble x, npy_longdouble y);
|
|
350
|
|
|
|
351
|
|
NPY_INPLACE npy_longdouble npy_modfl(npy_longdouble x, npy_longdouble* y);
|
|
352
|
|
NPY_INPLACE npy_longdouble npy_frexpl(npy_longdouble x, int* y);
|
|
353
|
|
NPY_INPLACE npy_longdouble npy_ldexpl(npy_longdouble x, int y);
|
|
354
|
|
|
|
355
|
|
NPY_INPLACE npy_longdouble npy_copysignl(npy_longdouble x, npy_longdouble y);
|
|
356
|
|
npy_longdouble npy_nextafterl(npy_longdouble x, npy_longdouble y);
|
|
357
|
|
npy_longdouble npy_spacingl(npy_longdouble x);
|
|
358
|
|
|
|
359
|
|
/*
|
|
360
|
|
* Non standard functions
|
|
361
|
|
*/
|
|
362
|
|
NPY_INPLACE double npy_deg2rad(double x);
|
|
363
|
|
NPY_INPLACE double npy_rad2deg(double x);
|
|
364
|
|
NPY_INPLACE double npy_logaddexp(double x, double y);
|
|
365
|
|
NPY_INPLACE double npy_logaddexp2(double x, double y);
|
|
366
|
|
NPY_INPLACE double npy_divmod(double x, double y, double *modulus);
|
|
367
|
|
NPY_INPLACE double npy_heaviside(double x, double h0);
|
|
368
|
|
|
|
369
|
|
NPY_INPLACE float npy_deg2radf(float x);
|
|
370
|
|
NPY_INPLACE float npy_rad2degf(float x);
|
|
371
|
|
NPY_INPLACE float npy_logaddexpf(float x, float y);
|
|
372
|
|
NPY_INPLACE float npy_logaddexp2f(float x, float y);
|
|
373
|
|
NPY_INPLACE float npy_divmodf(float x, float y, float *modulus);
|
|
374
|
|
NPY_INPLACE float npy_heavisidef(float x, float h0);
|
|
375
|
|
|
|
376
|
|
NPY_INPLACE npy_longdouble npy_deg2radl(npy_longdouble x);
|
|
377
|
|
NPY_INPLACE npy_longdouble npy_rad2degl(npy_longdouble x);
|
|
378
|
|
NPY_INPLACE npy_longdouble npy_logaddexpl(npy_longdouble x, npy_longdouble y);
|
|
379
|
|
NPY_INPLACE npy_longdouble npy_logaddexp2l(npy_longdouble x, npy_longdouble y);
|
|
380
|
|
NPY_INPLACE npy_longdouble npy_divmodl(npy_longdouble x, npy_longdouble y,
|
|
381
|
|
npy_longdouble *modulus);
|
|
382
|
|
NPY_INPLACE npy_longdouble npy_heavisidel(npy_longdouble x, npy_longdouble h0);
|
|
383
|
|
|
|
384
|
|
#define npy_degrees npy_rad2deg
|
|
385
|
|
#define npy_degreesf npy_rad2degf
|
|
386
|
|
#define npy_degreesl npy_rad2degl
|
|
387
|
|
|
|
388
|
|
#define npy_radians npy_deg2rad
|
|
389
|
|
#define npy_radiansf npy_deg2radf
|
|
390
|
|
#define npy_radiansl npy_deg2radl
|
|
391
|
|
|
|
392
|
|
/*
|
|
393
|
|
* Complex declarations
|
|
394
|
|
*/
|
|
395
|
|
|
|
396
|
|
/*
|
|
397
|
|
* C99 specifies that complex numbers have the same representation as
|
|
398
|
|
* an array of two elements, where the first element is the real part
|
|
399
|
|
* and the second element is the imaginary part.
|
|
400
|
|
*/
|
|
401
|
|
#define __NPY_CPACK_IMP(x, y, type, ctype) \
|
|
402
|
|
union { \
|
|
403
|
|
ctype z; \
|
|
404
|
|
type a[2]; \
|
|
405
|
|
} z1;; \
|
|
406
|
|
\
|
|
407
|
|
z1.a[0] = (x); \
|
|
408
|
|
z1.a[1] = (y); \
|
|
409
|
|
\
|
|
410
|
|
return z1.z;
|
|
411
|
|
|
|
412
|
|
static NPY_INLINE npy_cdouble npy_cpack(double x, double y)
|
|
413
|
|
{
|
|
414
|
1
|
__NPY_CPACK_IMP(x, y, double, npy_cdouble);
|
|
415
|
|
}
|
|
416
|
|
|
|
417
|
|
static NPY_INLINE npy_cfloat npy_cpackf(float x, float y)
|
|
418
|
|
{
|
|
419
|
1
|
__NPY_CPACK_IMP(x, y, float, npy_cfloat);
|
|
420
|
|
}
|
|
421
|
|
|
|
422
|
|
static NPY_INLINE npy_clongdouble npy_cpackl(npy_longdouble x, npy_longdouble y)
|
|
423
|
|
{
|
|
424
|
1
|
__NPY_CPACK_IMP(x, y, npy_longdouble, npy_clongdouble);
|
|
425
|
|
}
|
|
426
|
|
#undef __NPY_CPACK_IMP
|
|
427
|
|
|
|
428
|
|
/*
|
|
429
|
|
* Same remark as above, but in the other direction: extract first/second
|
|
430
|
|
* member of complex number, assuming a C99-compatible representation
|
|
431
|
|
*
|
|
432
|
|
* Those are defineds as static inline, and such as a reasonable compiler would
|
|
433
|
|
* most likely compile this to one or two instructions (on CISC at least)
|
|
434
|
|
*/
|
|
435
|
|
#define __NPY_CEXTRACT_IMP(z, index, type, ctype) \
|
|
436
|
|
union { \
|
|
437
|
|
ctype z; \
|
|
438
|
|
type a[2]; \
|
|
439
|
|
} __z_repr; \
|
|
440
|
|
__z_repr.z = z; \
|
|
441
|
|
\
|
|
442
|
|
return __z_repr.a[index];
|
|
443
|
|
|
|
444
|
|
static NPY_INLINE double npy_creal(npy_cdouble z)
|
|
445
|
|
{
|
|
446
|
1
|
__NPY_CEXTRACT_IMP(z, 0, double, npy_cdouble);
|
|
447
|
|
}
|
|
448
|
|
|
|
449
|
|
static NPY_INLINE double npy_cimag(npy_cdouble z)
|
|
450
|
|
{
|
|
451
|
1
|
__NPY_CEXTRACT_IMP(z, 1, double, npy_cdouble);
|
|
452
|
|
}
|
|
453
|
|
|
|
454
|
|
static NPY_INLINE float npy_crealf(npy_cfloat z)
|
|
455
|
|
{
|
|
456
|
1
|
__NPY_CEXTRACT_IMP(z, 0, float, npy_cfloat);
|
|
457
|
|
}
|
|
458
|
|
|
|
459
|
|
static NPY_INLINE float npy_cimagf(npy_cfloat z)
|
|
460
|
|
{
|
|
461
|
1
|
__NPY_CEXTRACT_IMP(z, 1, float, npy_cfloat);
|
|
462
|
|
}
|
|
463
|
|
|
|
464
|
|
static NPY_INLINE npy_longdouble npy_creall(npy_clongdouble z)
|
|
465
|
|
{
|
|
466
|
1
|
__NPY_CEXTRACT_IMP(z, 0, npy_longdouble, npy_clongdouble);
|
|
467
|
|
}
|
|
468
|
|
|
|
469
|
|
static NPY_INLINE npy_longdouble npy_cimagl(npy_clongdouble z)
|
|
470
|
|
{
|
|
471
|
1
|
__NPY_CEXTRACT_IMP(z, 1, npy_longdouble, npy_clongdouble);
|
|
472
|
|
}
|
|
473
|
|
#undef __NPY_CEXTRACT_IMP
|
|
474
|
|
|
|
475
|
|
/*
|
|
476
|
|
* Double precision complex functions
|
|
477
|
|
*/
|
|
478
|
|
double npy_cabs(npy_cdouble z);
|
|
479
|
|
double npy_carg(npy_cdouble z);
|
|
480
|
|
|
|
481
|
|
npy_cdouble npy_cexp(npy_cdouble z);
|
|
482
|
|
npy_cdouble npy_clog(npy_cdouble z);
|
|
483
|
|
npy_cdouble npy_cpow(npy_cdouble x, npy_cdouble y);
|
|
484
|
|
|
|
485
|
|
npy_cdouble npy_csqrt(npy_cdouble z);
|
|
486
|
|
|
|
487
|
|
npy_cdouble npy_ccos(npy_cdouble z);
|
|
488
|
|
npy_cdouble npy_csin(npy_cdouble z);
|
|
489
|
|
npy_cdouble npy_ctan(npy_cdouble z);
|
|
490
|
|
|
|
491
|
|
npy_cdouble npy_ccosh(npy_cdouble z);
|
|
492
|
|
npy_cdouble npy_csinh(npy_cdouble z);
|
|
493
|
|
npy_cdouble npy_ctanh(npy_cdouble z);
|
|
494
|
|
|
|
495
|
|
npy_cdouble npy_cacos(npy_cdouble z);
|
|
496
|
|
npy_cdouble npy_casin(npy_cdouble z);
|
|
497
|
|
npy_cdouble npy_catan(npy_cdouble z);
|
|
498
|
|
|
|
499
|
|
npy_cdouble npy_cacosh(npy_cdouble z);
|
|
500
|
|
npy_cdouble npy_casinh(npy_cdouble z);
|
|
501
|
|
npy_cdouble npy_catanh(npy_cdouble z);
|
|
502
|
|
|
|
503
|
|
/*
|
|
504
|
|
* Single precision complex functions
|
|
505
|
|
*/
|
|
506
|
|
float npy_cabsf(npy_cfloat z);
|
|
507
|
|
float npy_cargf(npy_cfloat z);
|
|
508
|
|
|
|
509
|
|
npy_cfloat npy_cexpf(npy_cfloat z);
|
|
510
|
|
npy_cfloat npy_clogf(npy_cfloat z);
|
|
511
|
|
npy_cfloat npy_cpowf(npy_cfloat x, npy_cfloat y);
|
|
512
|
|
|
|
513
|
|
npy_cfloat npy_csqrtf(npy_cfloat z);
|
|
514
|
|
|
|
515
|
|
npy_cfloat npy_ccosf(npy_cfloat z);
|
|
516
|
|
npy_cfloat npy_csinf(npy_cfloat z);
|
|
517
|
|
npy_cfloat npy_ctanf(npy_cfloat z);
|
|
518
|
|
|
|
519
|
|
npy_cfloat npy_ccoshf(npy_cfloat z);
|
|
520
|
|
npy_cfloat npy_csinhf(npy_cfloat z);
|
|
521
|
|
npy_cfloat npy_ctanhf(npy_cfloat z);
|
|
522
|
|
|
|
523
|
|
npy_cfloat npy_cacosf(npy_cfloat z);
|
|
524
|
|
npy_cfloat npy_casinf(npy_cfloat z);
|
|
525
|
|
npy_cfloat npy_catanf(npy_cfloat z);
|
|
526
|
|
|
|
527
|
|
npy_cfloat npy_cacoshf(npy_cfloat z);
|
|
528
|
|
npy_cfloat npy_casinhf(npy_cfloat z);
|
|
529
|
|
npy_cfloat npy_catanhf(npy_cfloat z);
|
|
530
|
|
|
|
531
|
|
|
|
532
|
|
/*
|
|
533
|
|
* Extended precision complex functions
|
|
534
|
|
*/
|
|
535
|
|
npy_longdouble npy_cabsl(npy_clongdouble z);
|
|
536
|
|
npy_longdouble npy_cargl(npy_clongdouble z);
|
|
537
|
|
|
|
538
|
|
npy_clongdouble npy_cexpl(npy_clongdouble z);
|
|
539
|
|
npy_clongdouble npy_clogl(npy_clongdouble z);
|
|
540
|
|
npy_clongdouble npy_cpowl(npy_clongdouble x, npy_clongdouble y);
|
|
541
|
|
|
|
542
|
|
npy_clongdouble npy_csqrtl(npy_clongdouble z);
|
|
543
|
|
|
|
544
|
|
npy_clongdouble npy_ccosl(npy_clongdouble z);
|
|
545
|
|
npy_clongdouble npy_csinl(npy_clongdouble z);
|
|
546
|
|
npy_clongdouble npy_ctanl(npy_clongdouble z);
|
|
547
|
|
|
|
548
|
|
npy_clongdouble npy_ccoshl(npy_clongdouble z);
|
|
549
|
|
npy_clongdouble npy_csinhl(npy_clongdouble z);
|
|
550
|
|
npy_clongdouble npy_ctanhl(npy_clongdouble z);
|
|
551
|
|
|
|
552
|
|
npy_clongdouble npy_cacosl(npy_clongdouble z);
|
|
553
|
|
npy_clongdouble npy_casinl(npy_clongdouble z);
|
|
554
|
|
npy_clongdouble npy_catanl(npy_clongdouble z);
|
|
555
|
|
|
|
556
|
|
npy_clongdouble npy_cacoshl(npy_clongdouble z);
|
|
557
|
|
npy_clongdouble npy_casinhl(npy_clongdouble z);
|
|
558
|
|
npy_clongdouble npy_catanhl(npy_clongdouble z);
|
|
559
|
|
|
|
560
|
|
|
|
561
|
|
/*
|
|
562
|
|
* Functions that set the floating point error
|
|
563
|
|
* status word.
|
|
564
|
|
*/
|
|
565
|
|
|
|
566
|
|
/*
|
|
567
|
|
* platform-dependent code translates floating point
|
|
568
|
|
* status to an integer sum of these values
|
|
569
|
|
*/
|
|
570
|
|
#define NPY_FPE_DIVIDEBYZERO 1
|
|
571
|
|
#define NPY_FPE_OVERFLOW 2
|
|
572
|
|
#define NPY_FPE_UNDERFLOW 4
|
|
573
|
|
#define NPY_FPE_INVALID 8
|
|
574
|
|
|
|
575
|
|
int npy_clear_floatstatus_barrier(char*);
|
|
576
|
|
int npy_get_floatstatus_barrier(char*);
|
|
577
|
|
/*
|
|
578
|
|
* use caution with these - clang and gcc8.1 are known to reorder calls
|
|
579
|
|
* to this form of the function which can defeat the check. The _barrier
|
|
580
|
|
* form of the call is preferable, where the argument is
|
|
581
|
|
* (char*)&local_variable
|
|
582
|
|
*/
|
|
583
|
|
int npy_clear_floatstatus(void);
|
|
584
|
|
int npy_get_floatstatus(void);
|
|
585
|
|
|
|
586
|
|
void npy_set_floatstatus_divbyzero(void);
|
|
587
|
|
void npy_set_floatstatus_overflow(void);
|
|
588
|
|
void npy_set_floatstatus_underflow(void);
|
|
589
|
|
void npy_set_floatstatus_invalid(void);
|
|
590
|
|
|
|
591
|
|
#ifdef __cplusplus
|
|
592
|
|
}
|
|
593
|
|
#endif
|
|
594
|
|
|
|
595
|
|
#if NPY_INLINE_MATH
|
|
596
|
|
#include "npy_math_internal.h"
|
|
597
|
|
#endif
|
|
598
|
|
|
|
599
|
|
#endif
|
BvB93